The construction of multipartite unextendible product bases (UPBs) is a basic problem in quantum information. We respectively construct two families of 2×2×4 and 2×2×2×4 UPBs of size eight by using the existing four-qubit and five-qubit UPBs. As an application, we construct novel families of multipartite positive-partial-transpose entangled states, as well as their entanglement properties in terms of the geometric measure of entanglement.
@article{arxiv.2203.08397,
title = {Constructing unextendible product bases from multiqubit ones},
author = {Taiyu Zhang and Lin Chen},
journal= {arXiv preprint arXiv:2203.08397},
year = {2023}
}